A method and system for simulating volatility for basket options is
disclosed. A volatility surface model having at least one surface
parameter is provided along with a set of volatilities for a plurality of
options on the underlying financial instrument. The set of volatilities
is analyzed to determine an initial value for each surface parameter
which, when used in the surface model, defines a surface approximating
the set of volatilities. The values of the surface parameters are then
evolved, and a volatility value is extracted from the volatility surface
defined by the evolved surface parameter values. The volatility of basket
options valued relative to the performance of multiple components can be
simulated by determining the value of surface parameters for options on
the component securities and then combining the component surface
parameters to determine surface parameters for a volatility surface of
the basket.